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Finding the Fourth Proportional to 7,808.61, 11,712.03 and 1,965.21

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Solution

The fourth proportional to 7,808.61, 11,712.03 and 1,965.21 is: 2,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.61 : 11,712.03 = 1,965.21 : x
  2. Step 2: Convert to fraction form
    7,808.61/11,712.03 = 1,965.21/x
  3. Step 3: Cross multiply
    7,808.61x = 11,712.03 × 1,965.21
  4. Step 4: Simplify right side
    7,808.61x = 23,016,598.48
  5. Step 5: Solve for x
    x = 23,016,598.48/7,808.61
  6. Step 6: Final answer
    x = 2,947.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.